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Matematicheskie Trudy, 2011, Volume 14, Number 1, Pages 141–157 (Mi mt210)  
This article is cited in 3 scientific papers (total in 3 papers)

Asymptotics of tangent points for planar curves

Yu. G. Nikonorovab

a South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
b Volgodonsk Institute of Service (branch) of South-Russian State University of Economics and Service, Volgodonsk, Russia
Full-text PDF (241 kB) Citations (3)
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Abstract: In this paper, we prove a universal inequality described the asymptotic behavior of tangent points for differentiable planar curves. As corollaries, we obtain some (partially known) assertions on the asymptotics of mean value points for a number of the classical theorems in analysis. We formulate some unsolved problems.
Key words: parametric curves in the plane, rectifiable curves, smooth curves, mean value theorems.
Received: 31.05.2010
English version:
Siberian Advances in Mathematics, 2012, Volume 22, Issue 3, Pages 192–203
DOI: https://doi.org/10.3103/S1055134412030030
Bibliographic databases:
Document Type: Article
UDC: 514.752.22+517
Language: Russian
Citation: Yu. G. Nikonorov, “Asymptotics of tangent points for planar curves”, Mat. Tr., 14:1 (2011), 141–157; Siberian Adv. Math., 22:3 (2012), 192–203
Citation in format AMSBIB
\Bibitem{Nik11}
\by Yu.~G.~Nikonorov
\paper Asymptotics of tangent points for planar curves
\jour Mat. Tr.
\yr 2011
\vol 14
\issue 1
\pages 141--157
\mathnet{http://mi.mathnet.ru/mt210}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2858661}
\transl
\jour Siberian Adv. Math.
\yr 2012
\vol 22
\issue 3
\pages 192--203
\crossref{https://doi.org/10.3103/S1055134412030030}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Full-text PDF :91
    References:65
    First page:9
     
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